556559661206604 has 192 divisors, whose sum is σ = 1493296381624320. Its totient is φ = 159559896384000.

The previous prime is 556559661206581. The next prime is 556559661206663. The reversal of 556559661206604 is 406602166955655.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5463754977 + ... + 5463856839.

It is an arithmetic number, because the mean of its divisors is an integer number (7777585320960).

Almost surely, 2^{556559661206604} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556559661206604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746648190812160).

556559661206604 is an abundant number, since it is smaller than the sum of its proper divisors (936736720417716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

556559661206604 is a wasteful number, since it uses less digits than its factorization.

556559661206604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104852 (or 104850 counting only the distinct ones).

The product of its (nonzero) digits is 349920000, while the sum is 66.

The spelling of 556559661206604 in words is "five hundred fifty-six trillion, five hundred fifty-nine billion, six hundred sixty-one million, two hundred six thousand, six hundred four".